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Finding the Fourth Proportional to 177,846.60, 266,113.80 and 162,100.20

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Solution

The fourth proportional to 177,846.60, 266,113.80 and 162,100.20 is: 242,552.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,846.60 : 266,113.80 = 162,100.20 : x
  2. Step 2: Convert to fraction form
    177,846.60/266,113.80 = 162,100.20/x
  3. Step 3: Cross multiply
    177,846.60x = 266,113.80 × 162,100.20
  4. Step 4: Simplify right side
    177,846.60x = 43,137,100,202.76
  5. Step 5: Solve for x
    x = 43,137,100,202.76/177,846.60
  6. Step 6: Final answer
    x = 242,552.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.